A171063 Table read by antidiagonals: T(n,m)=number of nonzero period n solutions of x(i)=(x(i-1)+x(i-2)) mod m (n>=1, m>=1).

0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 4, 0, 15, 0, 8, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0

Offset

1,9

Links

R. H. Hardin, Table of n, a(n) for n=1..64261

Example

Table starts
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0
0...0...0...0...4...0...0...0...0...4...0...0...0...0...4...0...0...0...0
0...0...0...0...0...0...0...0...0...0..10...0...0...0...0...0...0...0...0
0...3...0..15...0...3...0..15...0...3...0..15...0...3...0..15...0...3...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...0...8...0...4...8...0...0...8...4...0...8...0...0..44...0...0...8...0
0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3...0...3..18
0...0...0...0...0...0...0...0...0...0.120...0...0...0...0...0...0...0...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...3...0..15...4...3...0..63...0..19...0..15...0...3...4..63...0...3...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...3...0...3...0...3...0...3...0...3..10...3...0...3...0...3...0...3...0
0...0...8...0...4...8..48...0...8...4...0...8...0..48..44...0...0...8...0
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...3...0..15...0...3...0..15...0...3...0..15...0...3...0..15...0...3.360
0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0...0
0...0...0...0..24...0...0...0...0..24.120...0...0...0..24...0...0...0...0
For n=12, m=10 there are 19 (including shifted multiplicities):
1: 0 5 5 0 5 5 0 5 5 0 5 5
2: 5 0 5 5 0 5 5 0 5 5 0 5
3: 5 5 0 5 5 0 5 5 0 5 5 0
4: 1 3 4 7 1 8 9 7 6 3 9 2
5: 1 8 9 7 6 3 9 2 1 3 4 7
6: 6 3 9 2 1 3 4 7 1 8 9 7
7: 6 8 4 2 6 8 4 2 6 8 4 2
8: 2 1 3 4 7 1 8 9 7 6 3 9
9: 2 6 8 4 2 6 8 4 2 6 8 4
10: 7 1 8 9 7 6 3 9 2 1 3 4
11: 7 6 3 9 2 1 3 4 7 1 8 9
12: 4 2 6 8 4 2 6 8 4 2 6 8
13: 4 7 1 8 9 7 6 3 9 2 1 3
14: 9 2 1 3 4 7 1 8 9 7 6 3
15: 9 7 6 3 9 2 1 3 4 7 1 8
16: 3 4 7 1 8 9 7 6 3 9 2 1
17: 3 9 2 1 3 4 7 1 8 9 7 6
18: 8 4 2 6 8 4 2 6 8 4 2 6
19: 8 9 7 6 3 9 2 1 3 4 7 1

Crossrefs

Sequence in context: A320659 A062535 A063667 * A308229 A318673 A151795

Adjacent sequences: A171060 A171061 A171062 * A171064 A171065 A171066

Keyword

nonn,tabl

Author

R. H. Hardin Sep 05 2010

Status

approved